%0 Journal Article
%T Secondary Invariants for String Bordism and tmf
%A Ulrich Bunke
%A Niko Naumann
%J Mathematics
%D 2009
%I arXiv
%X Using spectral invariants of Dirac operators we construct a secondary version of the Witten genus, a bordism invariant of string manifolds in dimensions $4m-1$. We prove a secondary index theorem which relates this global-analytic construction with its homotopy-theoretic analog. The latter will be calculated through its factorization over topological modular forms.
%U http://arxiv.org/abs/0912.4875v1